Question 1141376
Let {{{ t }}} = time in hrs for both to go 32 mi
Let {{{ s }}} = Karl's speed in mi/hr
{{{ s + 2 }}} = Kirk's speed in mi/hr
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Karl's equation:
(1) {{{ 24 = s*t }}}
Kirk's equation:
(2) {{{ 32 = ( s+2 )*t }}}
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(2) {{{ 32 = s*t + 2t }}}
and
(1) {{{ s = 24/t }}}
Plug (1) into (2)
(2) {{{ 32 = ( 24/t )*t + 2t }}}
(2) {{{ 32 = 24 + 2t }}}
(2) {{{ 2t = 8 }}}
(2) {{{ t = 4 }}}
and
(1) {{{ s = 24/4 }}}
(1) {{{ s = 6 }}}
and
{{{ s + 2 = 8 }}}
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Karl's speed in 6 mi/hr
Kirk's speed is 8 mi/hr